Polynomials Review

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Classify the polynomial by degree AND number of terms.

3 - 7x - 9x²

quadratic trinomial

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Find the sum of the polynomials. Write the answer in standard form.

(5x² + 8x - 10) + (-12 - x + 3x²)

8x² + 7x - 22

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Find the difference of the polynomials. Write the answer in standard form.

(9x² - 4x + 8) - (12x² - 6x - 3)

-3x² + 2x + 11

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Classify the polynomial by degree AND number of terms.

2x - 8

linear binomial

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Multiply the polynomials. Write the answer in standard form.

6v(2v+3)

12v² + 18v

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Find the difference of the polynomials. Write the answer in standard form.

(x - 2x³ + 8 - 7x²) - (8 + 5x - 3x³)

x³ - 7x² - 4x

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Classify the polynomial by degree AND number of terms.

8x - 2 - 6x³

cubic trinomial

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Multiply the polynomials. Write the answer in standard form.

(n² + 6n - 4)(2n - 4)

2n³ + 8n² - 32n + 16

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Find the difference of the polynomials. Write the answer in standard form.

(7x⁴ - 8x² + 10) - (2x² - x³ + 7x⁴)

x³ - 10x² + 10

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Find the sum of the polynomials. Write the answer in standard form.

(8x - x³ + 4 - 9x²) + (7x³ + 9x² - 10 - 8x)

6x³ - 6

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Multiply the polynomials. Write the answer in standard form.

(2n + 2)(6n + 1)

12n² + 14n + 2

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Find the sum of the polynomials. Write the answer in standard form.

(4x⁴ - 2x + 8) + (x² + 3x - 2)

4x⁴ + x² + x + 6

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Find the difference of the polynomials. Write the answer in standard form.

(7x² - 5x + 11) - (3x² + 2x - 11)

4x² - 7x + 22

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Multiply the polynomials. Write the answer in standard form.

(3m - 1)(8m + 7)

24m² + 13m - 7

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Classify the polynomial by degree AND number of terms.

-24

constant monomial

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Find the difference of the polynomials. Write the answer in standard form.

(2x² - 2x + 3) - (x² + 5x - 5)

x² - 7x + 8

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Multiply the polynomials. Write the answer in standard form.

(4a + 2)(6a² - a + 2)

24a³ + 8a² + 6a +4

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Classify the polynomial by degree AND number of terms.

7x⁴ + 3x

quartic binomial

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Find the sum of the polynomials. Write the answer in standard form.

(5x² - x + 5) + (x² + x - 5)

6x²

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Multiply the polynomials. Write the answer in standard form.

(7k - 3)(k² - 2k + 7)

7k³ - 17k² + 55k - 21

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Classify the polynomial by degree AND number of terms.

6x³ + 3x + 2

Cubic trinomial

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Find the sum of the polynomials. Write the answer in standard form.

(3x² - 3x + 4) + (x² + 3x - 6)

4x² - 2

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Multiply the polynomials. Write the answer in standard form.

(4n + 1)(2n + 6)

8n² + 26n + 6

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Find the difference of the polynomials. Write the answer in standard form.

(6x² - 2x + 2) - (5x² + 2x -2)

x² - 4x + 4

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Find the sum of the polynomials. Write the answer in standard form.

(2x² + 3x⁴ + 2) + (2x⁴ - x² - 10)

5x⁴ + x² - 8